Answer:
y = 2x + 5
Step-by-step explanation:
First, you must choose two ordered pairs from the table to solve for the slope (m):
Let (x1, y1) = (0, 5)
(x2, y2) = (1, 7)
Substitute the given values into the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{7 - 5}{1 - 0} = \frac{2}{1} = 2[/tex]
Therefore, the slope (m) = 2.
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b ). It is also the value of y when x = 0. Looking at the given table, (0, 5) reflects the description of the y-intercept. The y-intercept (b) is the y-coordinate of (0, 5).
Given the slope (m) = 2, and y-intercept (b) = 5, the linear equation is:
y = 2x + 5
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